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23008085081136 = 24323711173866011
BaseRepresentation
bin1010011101100111111001…
…01111001111110000110000
310000110112220000020110101100
411032303330233033300300
511003431024240044021
6120533433545004400
74563164540234061
oct516637457176060
9100415800213340
1023008085081136
117370746232951
1226b7155183700
13cab864b75acc
14597850c48568
1529d75e2ce626
hex14ecfcbcfc30

23008085081136 has 120 divisors (see below), whose sum is σ = 66190192484624. Its totient is φ = 7455399252480.

The previous prime is 23008085081131. The next prime is 23008085081161. The reversal of 23008085081136 is 63118058080032.

23008085081136 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 8 + 0 + 8 + 508 + 1 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23008085081091 and 23008085081100.

It is not an unprimeable number, because it can be changed into a prime (23008085081131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4018371 + ... + 7884381.

Almost surely, 223008085081136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23008085081136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33095096242312).

23008085081136 is an abundant number, since it is smaller than the sum of its proper divisors (43182107403488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23008085081136 is a wasteful number, since it uses less digits than its factorization.

23008085081136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867179 (or 3867170 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 23008085081136 in words is "twenty-three trillion, eight billion, eighty-five million, eighty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1117 1332 1776 2234 2664 3351 4468 5328 6702 8936 10053 13404 17872 20106 26808 40212 41329 53616 80424 82658 123987 160848 165316 247974 330632 371961 495948 661264 743922 991896 1487844 1983792 2975688 3866011 5951376 7732022 11598033 15464044 23196066 30928088 34794099 46392132 61856176 69588198 92784264 139176396 143042407 185568528 278352792 286084814 429127221 556705584 572169628 858254442 1144339256 1287381663 1716508884 2288678512 2574763326 3433017768 4318334287 5149526652 6866035536 8636668574 10299053304 12955002861 17273337148 20598106608 25910005722 34546674296 38865008583 51820011444 69093348592 77730017166 103640022888 155460034332 159778368619 207280045776 310920068664 319556737238 479335105857 621840137328 639113474476 958670211714 1278226948952 1438005317571 1917340423428 2556453897904 2876010635142 3834680846856 5752021270284 7669361693712 11504042540568 23008085081136